No it won't. Certainly not in the lifetime of any demographic that were a majority of voting leave. Just look at a map of Europe, find Cyprus, find half the Island occupied by said country wanting to join EU. Now find in the booklet of EU laws about Vetoes. Now add all that together, you see a country wanting to join a group you're part of. But at the same time has stolen half your stuff. Are you going to allow that person to join or are you going to slam the face in their door?
Cyprus will Veto Turkey until it gets what it wants.